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Finding the Fourth Proportional to 691.96, 1,036.78 and 402.52

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Solution

The fourth proportional to 691.96, 1,036.78 and 402.52 is: 603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.96 : 1,036.78 = 402.52 : x
  2. Step 2: Convert to fraction form
    691.96/1,036.78 = 402.52/x
  3. Step 3: Cross multiply
    691.96x = 1,036.78 × 402.52
  4. Step 4: Simplify right side
    691.96x = 417,324.69
  5. Step 5: Solve for x
    x = 417,324.69/691.96
  6. Step 6: Final answer
    x = 603.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.